Nonlinear Viscosity Algorithm with Perturbation for Nonexpansive Multi-Valued Mappings
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Abstract:
In this paper, based on viscosity technique with perturbation, we introduce a new non-linear viscosity algorithm for finding a element of the set of fixed points of nonexpansivemulti-valued mappings in a Hilbert space. We derive a strong convergence theorem for thisnew algorithm under appropriate assumptions. Moreover, in support of our results, somenumerical examples (using Matlab software) are also presented.
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Journal title
volume 14 issue 2
pages 1- 22
publication date 2020-12-01
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